Question

How do you write the equation `y+2=5/3(x+6)` in standard form?

Answer 1

`5x-3y=-24`

Explanation:

The equation of a line in `color(blue)"standard form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(Ax+By=C)color(white)(2/2)|)))`
where A is a positive integer and B, C are integers.

distribute the bracket and rearrange into this form.

`y+2=5/3x+10`

`rArry=5/3x+10-2`

`rArry=5/3x+8`

multiply through by 3 to eliminate the fraction.

`rArr3y=5x+24`

`rArr5x-3y=-24larrcolor(red)" in standard form"`